Question

If
f(x) = 2x² – 5
and
g(x) = 5x + 7
Find
g(f(x)) = [?]x² + [ ]

Answer 1

⇒g(f(x)) means that in the place of x in the function g you will plug in the function f.

⇒This means that
`2x^(2) -5` will be plugged in the place of x in 5x+7 and the simplify.

⇒
`=5(2x^(2) -5)+7\\\\=10x^(2) -25+7\\=10x^(2) -18`

⇒Now you have the unknowns The coefficient of the variable
`x^(2)` is 10 and the constant number is -18.